STABILITY OF THE KAHLER-RICCI FLOW IN THE SPACE OF KAHLER METRICS
文献类型：期刊论文
| 作者 | Zheng, Kai |
| 刊名 | PACIFIC JOURNAL OF MATHEMATICS
 |
| 出版日期 | 2011-06-01 |
| 卷号 | 251期号:2页码:469-497 |
| ISSN号 | 0030-8730 |
| 关键词 | Kahler-Ricci flow space of Kahler metrics stability |
| 英文摘要 | We prove that on a Fano manifold M admitting a Kahler-Ricci soliton (omega, X), if the initial Kahler metric omega(phi 0) is close to omega in a certain weak sense, then the weak Kahler-Ricci flow exists globally and converges in the sense of Cheeger and Gromov. In particular, phi(0) is not assumed to be K(X)-invariant. The methods used are based on the metric geometry of the space of the Kahler metrics and are potentially applicable to other stability problems of geometric flows near the corresponding critical metrics. |
| 语种 | 英语 |
| 出版者 | PACIFIC JOURNAL MATHEMATICS |
| WOS记录号 | WOS:000291389100012 |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/12513]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Zheng, Kai |
| 作者单位 | Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Zheng, Kai. STABILITY OF THE KAHLER-RICCI FLOW IN THE SPACE OF KAHLER METRICS[J]. PACIFIC JOURNAL OF MATHEMATICS,2011,251(2):469-497. |
| APA | Zheng, Kai.(2011).STABILITY OF THE KAHLER-RICCI FLOW IN THE SPACE OF KAHLER METRICS.PACIFIC JOURNAL OF MATHEMATICS,251(2),469-497. |
| MLA | Zheng, Kai."STABILITY OF THE KAHLER-RICCI FLOW IN THE SPACE OF KAHLER METRICS".PACIFIC JOURNAL OF MATHEMATICS 251.2(2011):469-497. |
入库方式： OAI收割
来源：数学与系统科学研究院
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